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Finding the Fourth Proportional to 23,284.69, 34,928.87 and 7,702.31

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Solution

The fourth proportional to 23,284.69, 34,928.87 and 7,702.31 is: 11,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.69 : 34,928.87 = 7,702.31 : x
  2. Step 2: Convert to fraction form
    23,284.69/34,928.87 = 7,702.31/x
  3. Step 3: Cross multiply
    23,284.69x = 34,928.87 × 7,702.31
  4. Step 4: Simplify right side
    23,284.69x = 269,033,033.50
  5. Step 5: Solve for x
    x = 269,033,033.50/23,284.69
  6. Step 6: Final answer
    x = 11,554.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.